1 citations · 3 across the 9 of their papers we have counts for
9 papers
- estimates for subelliptic pseudo-differential operators on compact Lie groups
Duván Cardona, Julio Delgado, Vishvesh Kumar +1
We establish the --boundedness of subelliptic pseudo-differential operators on a compact Lie group . Effectively, we deal with the --bounds for operators in…
- boundedness of pseudo-differential operators on graded Lie groups
Duván Cardona, Vishvesh Kumar, Michael Ruzhansky
In this paper we establish the - estimates for global pseudo-differential operators on graded Lie groups. We provide both necessary and sufficient conditions for the $L^p…
Degenerate Schrödinger equations with irregular potentials
Duván Cardona, Marianna Chatzakou, Julio Delgado +1
In this work we investigate a class of degenerate Schrödinger equations associated to degenerate elliptic operators with irregular potentials on $\Ran$ by introducing a suitable Hö…
Control of the Cauchy problem on Hilbert spaces: A global approach via symbol criteria
Duván Cardona, Julio Delgado, Brian Grajales +1
Let and be invariant linear operators with respect to a decomposition of a Hilbert space in subspaces of finite dimension. We gi…
Schatten-von Neumann properties for Hörmander classes on compact Lie groups
Duván Cardona, Marianna Chatzakou, Michael Ruzhansky +1
Let be a compact Lie group of dimension In this work we characterise the membership of classical pseudo-differential operators on in the trace class ideal $S_{1}(L^2(G…
Estimates for sums of eigenfunctions of elliptic pseudo-differential operators on compact Lie groups
Duván Cardona, Julio Delgado, Michael Ruzhansky
We extend the estimates proved by Donnelly and Fefferman and by Lebeau and Robbiano for sums of eigenfunctions of the Laplacian (on a compact manifold) to estimates for sums of eig…